一道数列题 设A1=1,A2=5/3,An+2=5/3*An+1-2/3*An(n为正整数)(1)令Bn=An+1-An(n为正整数),求数列{Bn}的通项公式;(2)求{nAn}的前n项的和Sn.
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![一道数列题 设A1=1,A2=5/3,An+2=5/3*An+1-2/3*An(n为正整数)(1)令Bn=An+1-An(n为正整数),求数列{Bn}的通项公式;(2)求{nAn}的前n项的和Sn.](/uploads/image/z/1842644-20-4.jpg?t=%E4%B8%80%E9%81%93%E6%95%B0%E5%88%97%E9%A2%98+%E8%AE%BEA1%3D1%2CA2%3D5%2F3%2CAn%2B2%3D5%2F3%2AAn%2B1-2%2F3%2AAn%28n%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%EF%BC%89%EF%BC%881%EF%BC%89%E4%BB%A4Bn%3DAn%2B1-An%28n%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%EF%BC%89%2C%E6%B1%82%E6%95%B0%E5%88%97%7BBn%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%EF%BC%9B%EF%BC%882%EF%BC%89%E6%B1%82%7BnAn%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E7%9A%84%E5%92%8CSn.)
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